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  • Solve this problem . For a radioactive material, half-life is10 minutes. If initially there are 600 number of nuclei, the time taken (in minutes) for the disintegration of 450 nuclei is

. For a radioactive    material,    half-life is
10 minutes. If initially there are 600 number of nuclei, the time taken (in minutes) for the disintegration of 450 nuclei is

 

  • Option 1)

    30

  • Option 2)

    10

  • Option 3)

    20

  • Option 4)

    15

 

Answers (6)

best_answer

As we have learned

Number of nuclei in terms of half life -

N=frac{N_{0}}{2^{t/t_{1/2}}}

- wherein

Very useful to determine number of nuclei in terms of half life

 

t_{1/2}=10minutes

N_{0}=600

N=150=\frac{N_{0}}{2^{\frac{t}{t_{1/2}}}}=\frac{600}{2^{\frac{t}{t_{1/2}}}}

\Rightarrow \frac{t}{t_{1/2}} = 2

or {t}=2{t_{1/2}} = 20 minutes 

 

 

 

 


Option 1)

30

This is incorrect

Option 2)

10

This is incorrect

Option 3)

20

This is correct

Option 4)

15

This is incorrect

Posted by

Avinash

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Option 2) 10

Posted by

Shaikh adeen

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3)20

Posted by

balwant singh solanki

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20

Posted by

Gurpreet singh

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20

 

Posted by

divya tathe

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Option 3 i.e 20

Posted by

Rupesh kumar

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